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Finding the Third Proportional to 235,152 and 323,930

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Solution

The third proportional to 235,152 and 323,930 is: 446,224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,152 : 323,930 = 323,930 : x
  2. Step 2: Convert to fraction form
    235,152/323,930 = 323,930/x
  3. Step 3: Cross multiply
    235,152x = 323,930 × 323,930
  4. Step 4: Simplify right side
    235,152x = 104,930,644,900
  5. Step 5: Solve for x
    x = 104,930,644,900/235,152
  6. Step 6: Final answer
    x = 446,224.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.